%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:41:02 AM UTC 2026
% Result : Theorem 0.23s 0.31s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:22:19 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.31 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.23/0.31
% 0.23/0.31 % SZS status Theorem
% 0.23/0.31
% 0.23/0.31 % SZS output start Proof
% 0.23/0.31 Axiom 1 (query59): mtvisible(c_tptpgeo_spindlecollectormt) = true.
% 0.23/0.31 Axiom 2 (just1): genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt) = true.
% 0.23/0.31 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.23/0.31 Axiom 4 (just2): ifeq(mtvisible(c_tptpgeo_member5_mt), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true) = true.
% 0.23/0.31 Axiom 5 (just29): ifeq(borderson(X, Y), true, borderson(Y, X), true) = true.
% 0.23/0.31 Axiom 6 (just31): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 0.23/0.31
% 0.23/0.31 Goal 1 (query59_1): borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47) = true.
% 0.23/0.31 Proof:
% 0.23/0.31 borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47)
% 0.23/0.31 = { by axiom 3 (ifeq_axiom) R->L }
% 0.23/0.31 ifeq(true, true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 0.23/0.31 = { by axiom 4 (just2) R->L }
% 0.23/0.31 ifeq(ifeq(mtvisible(c_tptpgeo_member5_mt), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 0.23/0.31 = { by axiom 3 (ifeq_axiom) R->L }
% 0.23/0.31 ifeq(ifeq(ifeq(true, true, mtvisible(c_tptpgeo_member5_mt), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 0.23/0.31 = { by axiom 3 (ifeq_axiom) R->L }
% 0.23/0.31 ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptpgeo_member5_mt), true), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 0.23/0.31 = { by axiom 1 (query59) R->L }
% 0.23/0.31 ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_spindlecollectormt), true, ifeq(true, true, mtvisible(c_tptpgeo_member5_mt), true), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 0.23/0.31 = { by axiom 2 (just1) R->L }
% 0.23/0.31 ifeq(ifeq(ifeq(mtvisible(c_tptpgeo_spindlecollectormt), true, ifeq(genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member5_mt), true, mtvisible(c_tptpgeo_member5_mt), true), true), true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 0.23/0.31 = { by axiom 6 (just31) }
% 0.23/0.31 ifeq(ifeq(true, true, borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 0.23/0.31 = { by axiom 3 (ifeq_axiom) }
% 0.23/0.31 ifeq(borderson(c_georegion_l4_x56_y47, c_georegion_l4_x57_y47), true, borderson(c_georegion_l4_x57_y47, c_georegion_l4_x56_y47), true)
% 0.23/0.31 = { by axiom 5 (just29) }
% 0.23/0.31 true
% 0.23/0.31 % SZS output end Proof
% 0.23/0.31
% 0.23/0.31 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------